Great Ideas in Theoretical Computer Science - Approximation Algorithms

Great Ideas in Theoretical Computer Science - Approximation Algorithms

Ryan O'Donnell via YouTube Direct link

given a Boolean formula F. is it satisfiable?

2 of 25

2 of 25

given a Boolean formula F. is it satisfiable?

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Great Ideas in Theoretical Computer Science - Approximation Algorithms

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  1. 1 Intro
  2. 2 given a Boolean formula F. is it satisfiable?
  3. 3 INVENTS BEAUTIFUL THEORY OF ALGORITHMIC COMPLEXITY
  4. 4 Don't Give Up
  5. 5 Gavril's Approximation Algorithm
  6. 6 Max-Cut
  7. 7 A technicality: Optimization vs. Decision
  8. 8 Today: A case study of
  9. 9 A possible Vertex-Cover algorithm
  10. 10 GreedyVC example
  11. 11 GreedyVc analysis
  12. 12 A bad graph for GreedyVc
  13. 13 A worse graph for GreedyVc
  14. 14 Greed is Bad (for Vertex-Cover)
  15. 15 Gavril to the rescue
  16. 16 GavrilVC example
  17. 17 Theorem: GavrilVC is a 2-approximation for Vertex-Cover.
  18. 18 "k-Coverage" problem
  19. 19 "Pokémon-Coverage" problem
  20. 20 Example with k=3
  21. 21 Greed is Pretty Good (for k-Coverage)
  22. 22 TSP (Traveling Salesperson Problem)
  23. 23 TSP example
  24. 24 Textbooks
  25. 25 Museum exhibits

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